9. Find a rational number between 𝝅 and √12. Show your work.

Answer 1

To find a rational number between 𝜋 and √12, we can use the fact that every rational number can be written as a fraction.

First, let's find the decimal approximation for 𝜋. We know that 𝜋 is approximately equal to 3.14159.

Next, let's find the decimal approximation for √12. We can simplify this square root by factoring 12 as 2 * 2 * 3. Since 2 is a perfect square, we can take it out of the square root and write it as 2√3. Additionally, the decimal approximation for the square root of 3 is approximately 1.732.

So, √12 is approximately equal to 2 * 1.732 = 3.464.

Now, we can find a rational number between 𝜋 and √12 by finding a number between the decimal approximations we calculated. Let's choose 3.2 as our rational number.

Therefore, a rational number between 𝜋 and √12 is 3.2.